### Non-uniqueness of Leray solutions of the forced Navier-Stokes equations

- Series
- PDE Seminar
- Time
- Tuesday, August 30, 2022 - 15:00 for 1 hour (actually 50 minutes)
- Location
- Skiles 168
- Speaker
- Dallas Albritton – Princeton University – dallas.albritton@ias.edu

In a seminal work, Leray demonstrated the existence of global weak solutions to the Navier-Stokes equations in three dimensions. Are Leray's solutions unique? This is a fundamental question in mathematical hydrodynamics, which we answer in the negative, within the `forced' category, by exhibiting two distinct Leray solutions with zero initial velocity and identical body force. This is joint work with Elia Brué and Maria Colombo.